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Volumn 3, Issue 2, 2003, Pages 287-312

Modified three-point difference schemes of high-accuracy order for second order nonlinear ordinary differential equations

Author keywords

Linearization method and the principle of contraction mapping; Nonlinear boundary value problem; Three point difference scheme

Indexed keywords


EID: 33749555961     PISSN: 16094840     EISSN: 16099389     Source Type: Journal    
DOI: 10.2478/cmam-2003-0019     Document Type: Article
Times cited : (8)

References (9)
  • 1
    • 0003399996 scopus 로고
    • Elsevier Scientific Publishing Company, Amsterdam-Oxford-New York
    • A. Kufner and S. Fucik, Nonlinear Differential Equations, Elsevier Scientific Publishing Company, Amsterdam-Oxford-New York, 1980.
    • (1980) Nonlinear Differential Equations
    • Kufner, A.1    Fucik, S.2
  • 2
    • 33746951547 scopus 로고    scopus 로고
    • Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation
    • M. V. Kutniv, Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation, Comput. Math. Math. Phys., 40 (2000), No. 3, pp. 368-382.
    • (2000) Comput. Math. Math. Phys. , vol.40 , Issue.3 , pp. 368-382
    • Kutniv, M.V.1
  • 3
    • 33746943338 scopus 로고    scopus 로고
    • Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order
    • M. V. Kutniv, Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order, Comput. Math. Math. Phys., 41 (2001), No. 6, pp. 860-873.
    • (2001) Comput. Math. Math. Phys. , vol.41 , Issue.6 , pp. 860-873
    • Kutniv, M.V.1
  • 4
    • 33746479155 scopus 로고    scopus 로고
    • High-order accurate three-point difference schemes for systems of second-order ordinary differential equations with a monotone operator
    • M. V. Kutniv, High-order accurate three-point difference schemes for systems of second-order ordinary differential equations with a monotone operator, Comput. Math. Math. Phys., 42 (2002), No. 5, pp. 724-738.
    • (2002) Comput. Math. Math. Phys. , vol.42 , Issue.5 , pp. 724-738
    • Kutniv, M.V.1
  • 5
    • 33746953115 scopus 로고    scopus 로고
    • Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
    • M. V. Kutniv, V. L. Makarov, and A. A. Samarskii, Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation, Comput. Math. Math. Phys., 39 (1999), No. 1, pp. 40-45.
    • (1999) Comput. Math. Math. Phys. , vol.39 , Issue.1 , pp. 40-45
    • Kutniv, M.V.1    Makarov, V.L.2    Samarskii, A.A.3
  • 6
    • 84951928345 scopus 로고
    • Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization
    • V. L. Makarov and A. A. Samarskii, Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization, Soviet Math. Dokl., 41 (1990), No. 3, pp. 495-500.
    • (1990) Soviet Math. Dokl. , vol.41 , Issue.3 , pp. 495-500
    • Makarov, V.L.1    Samarskii, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.